Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle

Abstract

New local well-posedness results for dispersion generalized Benjamin-Ono equations on the torus are proved. The family of equations under consideration links the Benjamin-Ono and Korteweg-de Vries equation. For sufficiently high dispersion global well-posedness in $L^2(\mathbb{T})$ is derived.

arXiv comment38 pages

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Cited by in corpus (2)

• Low regularity well-posedness for generalized Benjamin-Ono equations on the circle
• On shorttime bilinear Strichartz estimates and applications to improve the energy method